Weak solvability of a hyperbolic integro-differential equation with integral condition

By using the method of semidiscretization in time also called the Rothe's method, we prove the existence, uniqueness of the weak solution and its continuous dependence upon data, for an hyperbolic integro-differential equation with initial, Neumann and integral conditions.

Bibliographic Details
Main Authors: D. Belakroum, A. Guezane-Lakoud
Format: Article
Language:English
Published: University of Szeged 2011-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=551